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SUMMARY:Harmonic maps and cluster coordinates - Dylan Allegretti (Universi
 ty of British Columbia)
DTSTART:20211110T161500Z
DTEND:20211110T164500Z
UID:TALK164791@talks.cam.ac.uk
DESCRIPTION:In the late 1980s\, Nigel Hitchin and Michael Wolf independent
 ly discovered a parametrization of the Teichm&uuml\;ller space of a compac
 t surface by holomorphic quadratic differentials. In this talk\, I will pr
 esent work in progress on a generalization of their result. I will explain
  how\, by replacing holomorphic differentials by meromorphic differentials
 \, one is naturally led to consider an object called the enhanced Teichm&u
 uml\;ller space. The latter is an extension of the classical Teichm&uuml\;
 ller space equipped with an atlas of cluster Poisson coordinates.
LOCATION:Seminar Room 1\, Newton Institute
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